7293201120 has 240 divisors, whose sum is σ = 26032240080. Its totient is φ = 1922697216.

The previous prime is 7293201103. The next prime is 7293201199. The reversal of 7293201120 is 211023927.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1150279 + ... + 1156601.

It is an arithmetic number, because the mean of its divisors is an integer number (108467667).

Almost surely, 2^7293201120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7293201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016120040).

7293201120 is an abundant number, since it is smaller than the sum of its proper divisors (18739038960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7293201120 is a wasteful number, since it uses less digits than its factorization.

7293201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7293201120 is about 85400.2407490752. The cubic root of 7293201120 is about 1939.2749903605.

The spelling of 7293201120 in words is "seven billion, two hundred ninety-three million, two hundred one thousand, one hundred twenty".